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Trig Equations Pre CalcSec (theta) = 10

Sagot :

ANSWER

θ = 0

EXPLANATION

The secant function is the inverse of the cosine function:

[tex]\sec \theta=\frac{1}{\cos \theta}[/tex]

So we can rewrite the equation:

[tex]\begin{gathered} \sec \theta=1 \\ \frac{1}{\cos \theta}=1 \end{gathered}[/tex]

Solving for theta:

[tex]\begin{gathered} \cos \theta=1 \\ \theta=\arccos (1) \end{gathered}[/tex]

This means that we have to find an angle for which its cosine is 1. If theta is between 0 and 360 degrees, there's only one solution - one angle whose cosine is 1: θ = 0.

See the graph of cos(θ):

View image CordonY369417
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